Volume of meniscus

Hello,

Meniscus volumes are ... volumes ... of axisymmetric shapes. Here, it seems you want the area of a slice of such shape, with the corresponding cutting plane including the axis of symmetry.
I do not know / think there could be a relation between the two, and obviously not an equality (think of the volume of a potential cylindrical meniscus, vs the area of the corresponding rectangle..)

It seems there is a second part in your question about the orientation of the capillary force, but I have to say I did not get it ;-)

Jerome

Hi Jerome,

Thanks for the response.
I meant the area of pendular regime.
This is because I am trying to create the capillary preesure in two dimensional packing by confining x-axis in my case.
In this case, the capillary force in x direction became all zero.
So, I thought the calculated volume of meniscus represents the area of pendular regime.
Thanks!

Seungcheol

To clear my question, here is the figure.
https://yade-dem.org/w/images/f/fb/LocalCapillaryLaw_wiki1.png
I meant the area of meniscus between those two circles.
Thanks.

Seungcheol

Thanks for the details, but I had indeed this area in mind. Again, I think a volume numeric value can not correspond to an area..

Furthermore, the YADE capillary data come from solving Laplace-Young equation for 3D axisymmetric pendular bridges. It is impossible to use these data to deal with 2D bridges (or 3D bridges being invariant along x direction).

Because the very initial partial derivative equation (PDE) describing the bridges would not be the same: "YADE" considers [2] from Lian1993 which applies to 3D axisymmetric bridges. Another PDE would hold for a "2D" case.

Jerome

Lian1993: Guoping Lian and Colin Thornton and Michael J. Adams, A Theoretical Study of the Liquid Bridge Forces between Two Rigid Spherical Bodies, Journal of Colloid and Interface Science (1993)